Search a number
-
+
423812664 = 233211248647
BaseRepresentation
bin11001010000101…
…101111000111000
31002112110220200100
4121100231320320
51331444001124
6110015435400
713334230302
oct3120557070
91075426610
10423812664
111a825a800
12b9b25b60
1369a5b232
1440402972
15273191c9
hex1942de38

423812664 has 72 divisors (see below), whose sum is σ = 1261685880. Its totient is φ = 128425440.

The previous prime is 423812663. The next prime is 423812693. The reversal of 423812664 is 466218324.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423812663) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15612 + ... + 33035.

It is an arithmetic number, because the mean of its divisors is an integer number (17523415).

Almost surely, 2423812664 is an apocalyptic number.

423812664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

423812664 is an abundant number, since it is smaller than the sum of its proper divisors (837873216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

423812664 is a wasteful number, since it uses less digits than its factorization.

423812664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48681 (or 48663 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 423812664 is about 20586.7108591926. The cubic root of 423812664 is about 751.1464918489.

The spelling of 423812664 in words is "four hundred twenty-three million, eight hundred twelve thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 48647 97294 145941 194588 291882 389176 437823 535117 583764 875646 1070234 1167528 1605351 1751292 2140468 3210702 3502584 4280936 4816053 5886287 6421404 9632106 11772574 12842808 17658861 19264212 23545148 35317722 38528424 47090296 52976583 70635444 105953166 141270888 211906332 423812664